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459407426351448 = 233472539160408069
BaseRepresentation
bin110100001110101000010000…
…0011101000111000101011000
32020020121220212102210022122110
41220131100200131013011120
5440203412402121221243
64305024505203352320
7165524043203105331
oct15035204035070530
92206556772708573
10459407426351448
111234216604a2a43
12436382a16826a0
1316945c1bbb1633
14816361c11b288
15381a394ce8e33
hex1a1d420747158

459407426351448 has 64 divisors (see below), whose sum is σ = 1173417113664000. Its totient is φ = 149818568982912.

The previous prime is 459407426351443. The next prime is 459407426351519. The reversal of 459407426351448 is 844153624704954.

It is a super-2 number, since 2×4594074263514482 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459407426351443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77340043 + ... + 83068026.

It is an arithmetic number, because the mean of its divisors is an integer number (18334642401000).

It is a 1-persistent number, because it is pandigital, but 2⋅459407426351448 = 918814852702896 is not.

Almost surely, 2459407426351448 is an apocalyptic number.

It is an amenable number.

459407426351448 is an abundant number, since it is smaller than the sum of its proper divisors (714009687312552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

459407426351448 is a wasteful number, since it uses less digits than its factorization.

459407426351448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160410664 (or 160410660 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 66.

The spelling of 459407426351448 in words is "four hundred fifty-nine trillion, four hundred seven billion, four hundred twenty-six million, three hundred fifty-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 2539 5078 7617 10156 15234 20312 30468 60936 119333 238666 357999 477332 715998 954664 1431996 2863992 160408069 320816138 481224207 641632276 962448414 1283264552 1924896828 3849793656 7539179243 15078358486 22617537729 30156716972 45235075458 60313433944 90470150916 180940301832 407276087191 814552174382 1221828261573 1629104348764 2443656523146 3258208697528 4887313046292 9774626092584 19141976097977 38283952195954 57425928293931 76567904391908 114851856587862 153135808783816 229703713175724 459407426351448